SRI LANKAN INTERNATIONAL SCHOOL

SRI LANKAN INTERNATIONAL SCHOOL

RIYADH

First semester examination - 2007/2008

Mathematics

Paper 3HAdmission no:

Grade: 8 A/B

This paper has 25 questions on 15 pages Duration:2 hours

(i) Change 13 to a mixed number

7(ii) Calculate these.

(a) 16 2 + 4 (b) (2+26) 2

(Total 3 marks)2. Write each of these in standard form.(a) 127.45

(b) 129 million

Correct each of these to 3 significant figures(a) 0.439

(b) 0.0004619(Total 4 marks)3. (i) Find 5% of 42 (ii) Increase $ 50 by 8% and write down the new value(Total 4 marks)4. Simplify these as much as possible.

(a). 5 xy 12 xy +7 xy

(b). 9 cd 8 dc + 3 cd cd

(Total 4 marks)5. Remove brackets and simplify the following:(a) a +2 (2a + b)(b) 7 x - (x - y)(Total 4 marks)6. Solve these for x(a) 6 x -2 = 3 x +1(b) 19 5 x = 11 9 x(Total 4 marks)7. Find the gradient of the straight line joining A to B when(a) A is (1,2) and B is (5,1)(b) A is (-3,2) and B is (3,-4)

(Total 4 marks)8. Write down the gradient and y intercept of each of the following:(a) y = 2 x - 7 (b) y = 5 - x (Total 4 marks)9. Write down the equation of the line with gradient(a) 2, passing through (0, 4)(b) 1/4, passing through (4, 1)

(Total 4 marks)10. (a) Name a geometrical shape with rotational symmetry of order 2 and with no reflection symmetry(b) Name a geometrical shape with neither rotational symmetry nor reflection symmetry(c). Name a quadrilateral whose diagonals are perpendicular(Total 3 marks)11.(a) Find the angle sum of a polygon with eight sides(b) A regular polygon has twelve sides. Find the size of each interior and exterior angle.(Total 4 marks)12. Construct an equilateral triangle with side length equal to 6 cm and label it ABC.Bisect ABC

(Total 4 marks)13. = { all integers between 10 and 20}A = {prime numbers between 10 and 20}

B = {odd numbers between 10 and 20}

(a) Illustrate these sets on a Venn diagram(b) Find the set AUB and n (AUB)(Total 4 marks)14.

= {a, b, c, d, e, f, g, h, I, j}A = {a, c, e, g, i}

B = {c, d, e, f}

(a) List A( B(b) List AUB

(Total 4 marks)15.

C T 4 12 2

3

Find

(a). n(C)

(b). n(C( D)

(c). n(C UD)

(Total 3 marks)16. Divide 702 in the ratio 1 : 2: 3 (Total 3 marks)17. Work these out. (a) 1 + 5 3 12(b) 5 - 7 6 30

(Total 2 marks)18. The density of lead is 11.4 g/cm3. What mass of lead has a volume of 1 m3?(Total 3 marks)19. Simplify these(a) 3 x2 3 x(b) 12 a 4 b

(Total 2 marks)20. Simplify the following(a)

14 x3 y2 21 x2 y3(b) 52 a b2c3 65 a3b2c(Total 4 marks)21. Simplify the following(a)

2x - x 3 4(b) 3 + 4 2b 3b (Total 4 marks)22. Solve the inequality, and show the result on a number line (i) 6x + 3 < 2 x +19 (ii) 4 < 3 x +112(Total 4 marks)23. Solve the following inequality, and then list the three largest integers in the solution set x -1 x +1 3 4(Total 4 marks)24. Copy and complete these tables, and then draw both graphs on one set of axes

x

024

y = x - 1

x

024

y = 6 -x

Solve the simultaneous equations y = x 1 and y = 6 x using your graph

4

3

2

1

0 1 2 3 4

-1

(Total 8 marks)25. Consider the following Venn diagram drawn for number of pieces of cake (made using chocolates, dates & raisins) available in a bake house.

C = {Cake containing chocolates}D = {Cake containing dates}R = {Cake containing raisins}(i). How many pieces of cake contain raisins only?(ii). How many pieces of cake contain chocolates only?(iii). How many pieces of cake contain dates only?(iv). How many pieces of cake contain both raisins and dates?(v). How many pieces of cake contain all three components?(vi) How many different types of cake are there in the bake house?(Total 9 marks)TOTAL FOR PAPER: 100 MARKS

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